We are constructing a box from a rectangular piece of cardboard. The piece of cardboard which...

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We are constructing a box from a rectangular piece of cardboard. The piece of cardboard which measures 28 inches wide and 44 inches long. We will remove a square of size "x" inches from each corner and turn up the edges. X IX W X X L Once we remove the squares of size "x" inches from each corner and turn up the edges, we create a box: Label the dimensions of the newly created box using the variable "x". h = W= 1 = What is the equation that represents the Volume of the box as a function of the cutsize of the box? V (x) = What is the restricted domain of this problem? (That is, what x values "make sense"?) Number ≤x≤Number What is the restricted range of this problem? (That is, what V values "make sense"?) <V (x) ≤ Number (round to 1 decimal place) Number To maximize the volume of the newly created box, how much should be cut from each corner? x = Number inches (round to 1 decimal place) What is the maximum volume the box can hold? V = Number in³ (round to 1 decimal place) What is the largest cutsize you can cut out of the paper and still create a box with volume 2129 in³? x = Number (round to 1 decimal place) We are constructing a box from a rectangular piece of cardboard. The piece of cardboard which measures 28 inches wide and 44 inches long. We will remove a square of size "x" inches from each corner and turn up the edges. X IX W X X L Once we remove the squares of size "x" inches from each corner and turn up the edges, we create a box: Label the dimensions of the newly created box using the variable "x". h = W= 1 = What is the equation that represents the Volume of the box as a function of the cutsize of the box? V (x) = What is the restricted domain of this problem? (That is, what x values "make sense"?) Number ≤x≤Number What is the restricted range of this problem? (That is, what V values "make sense"?) <V (x) ≤ Number (round to 1 decimal place) Number To maximize the volume of the newly created box, how much should be cut from each corner? x = Number inches (round to 1 decimal place) What is the maximum volume the box can hold? V = Number in³ (round to 1 decimal place) What is the largest cutsize you can cut out of the paper and still create a box with volume 2129 in³? x = Number (round to 1 decimal place)

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